Online hierarchical scheduling on two machines with known total size of low-hierarchy jobs

Xin Chen, Ning Ding, György Dósa, Xin Han, He Jiang

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, we consider three versions of semi-online hierarchical scheduling problems on two identical machines, with the purpose of minimizing the makespan. In the first version, we assume that the total size of jobs with lower hierarchy is given and we get the tight bound (Formula presented.). In the second one, assume that the total size of jobs in each hierarchy is given and we get the tight bound (Formula presented.). In the third one, we assume that the total size of jobs with lower hierarchy is known in advance and a buffer of size K is given to store at most K jobs temporarily. We propose an optimal algorithm with competitive ratio (Formula presented.) using K=1 and show that a bigger buffer size is not helpful.

Original languageEnglish
Pages (from-to)873-881
Number of pages9
JournalInternational Journal of Computer Mathematics
Volume92
Issue number5
DOIs
Publication statusPublished - May 4 2015

Keywords

  • competitive ratio
  • hierarchical constraint
  • scheduling problem
  • semi-online

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Applied Mathematics

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